Jewel Mine

You have found $M$ different types of jewels in a mine and each type of jewel is present in an infinite number. There are $N$ different boxes located at position $(1 ,2 ,3 ,...N)$. Each box can collect jewels up to a certain number ( box at position $i$ have $i$ different partitions and each partition can collect at most one jewel of any type). Boxes at odd positions are already fully fil